SAT Question f79fffba: Linear Functions answer and explanation with Desmos solution

Choice A is correct. The value of $h\left(-2\right)$ can be found by substituting $-2$ for $x$ in the equation defining $h$. Substituting $-2$ for $x$ in $h\left(x\right)=3x-7$ yields $h\left(-2\right)=3\left(-2\right)-7$, or $h\left(-2\right)=-13$. Therefore, the value of $h\left(-2\right)$ is $-13$.